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Finding the Fourth Proportional to 211,781.88, 317,579.54 and 99,494

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Solution

The fourth proportional to 211,781.88, 317,579.54 and 99,494 is: 149,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,781.88 : 317,579.54 = 99,494 : x
  2. Step 2: Convert to fraction form
    211,781.88/317,579.54 = 99,494/x
  3. Step 3: Cross multiply
    211,781.88x = 317,579.54 × 99,494
  4. Step 4: Simplify right side
    211,781.88x = 31,597,258,752.76
  5. Step 5: Solve for x
    x = 31,597,258,752.76/211,781.88
  6. Step 6: Final answer
    x = 149,197.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.